Compute the value of the following improper integral. If it is divergent, type "Diverges" or "D". Answer: [22² 2 5e Using the improper integral from above and the Integral Test, determine whether the following series converges or diverges. Answer "Converges" or "Diverges." Answer: ? 2x¹e-¹ dr

Q: x-6X

A: We need to find the integral ∫dxx2-6x. So,                            ∫1x2-6xdx=∫1x-32-9dxLet…

Q: 64y2+7=32

A: 64y2+7=32

Q: b- 4b+4 0

A:

Q: x? - 4x – 5.

A:

Q: 9w2=12w+5

A:

Q: n-6=5

A: Here we have to find the value of n =?  3n-6=5n

Q: 4y-12=0

A: 4y = 12 y = 3

Q: 4x-7y=28

A:

Q: 24 Se-4x-2y y doc

A:

Q: 5-3x

A: Consider the given expression.

Q: 3b-12 = 30

A:

Q: dt t2-t-6

A:

Q: S%3D

A:

Q: 2x-2=4

A: Given,          2x-2=4

Q: Evaluate 6y2, when y=3

A: We can find the answer as below using the following steps.

Q: Find

A:

Q: Let (a,) be the sequence from the previous question. To show by induction that a, = 2" + 3 for all…

A:

Q: 3 5 dx

A: To calculate the value of the given integral.

Q: 11+2x=31

A:

Q: 8P4 11C7

A:

Q: -5 -2 1

A:

Q: xy dxdy Hw

A: See attached file for a step by step explanation.

Q: x-6x

A:

Q: 1 2e10 - 3 da e5z

A:

Q: a = 2 - 9a

A:

Q: 4т V17 3

A: Modulus function always gives positive quantity in result.

Q: ZA b a y

A:

Q: 9y-3=19-2y

A: 9y-3=19-2y

Q: 2t2 – 100 = 0 %3D

A: The solution is, t = ±5√2  The detailed solution is as follows below:

Q: 5y²-9y-2=

A:

Q: Find L s²-8

A:

Q: 4=6/2x-3

A: Given query is to find the value of x.

Q: dx 4е2я — 8ет + 5

A: This question can be solved using the concept of special integrals.

Q: ZV zV1- z?dz

A: Let the given integral be y - y = ∫z1-z2 dz           ..............(1)Let,z = sinx…

Q: 12 2х A = 2x

A: (6(a):- Given matrix Q is                              6(b) Singular Matrix:- A matrix is called…

Q: 10xs20+7x.

A: